The annual Exercise Club membership fees of $$2500$ are due on January $31,2018.$ Club management offers a

reduction of membership fees of $19\mathrm{.}6\%$ p$.$a$.$ to members who pay the dues by January $16,2018.$ How much must a

member pay on January $16,2018,$ if she chooses to take advantage of the club management's offer?

She must pay $$2480\mathrm{.}02.$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$